Minimal surfaces in some 4-dimensional general \((\alpha, \beta)\)-spaces

DOI10.1016/j.jmaa.2016.07.004zbMath1345.53062OpenAlexW2472433313MaRDI QIDQ739509

Yong-Nan Liu, Zhong Hua Hou

Publication date: 18 August 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.004

zbMATH Keywords

mean curvature vectorminimal submanifoldsFinsler manifoldsgeneral \((\alpha, \beta)\)-metrics

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

• Unnamed Item
• On a new class of Finsler metrics
• On Finsler geometry of submanifolds
• Minimal surfaces of rotation in Finsler space with a Randers metric
• A Bernstein type theorem on a Randers space
• Minimal rotational hypersurfaces in Minkowski \((\alpha , \beta )\)-space
• VOLUME FORMS AND MINIMAL SURFACES OF ROTATION IN FINSLER SPACES WITH (α, β)-METRICS
• Minimal submanifolds in general (α,β)-spaces

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